Solving Equations
Solve: 14 = -8 - 2k
k = -11
Write an algebraic expression: 5 less than four times a number
4x - 5
Solve for T: P = IRT
T = P/IR
Identify the x- and y-intercepts: 3x - y = 4
x-intercept: 4/3
y-intercept: -4
Describe the transformation of the graph of f(x) = (x - 3) to the graph of parent function.
translated 3 units to the right
Solve: 21 + 3j = 9 - 3j
j = -2
Evaluate: 2^5
32
Solve for x: y = 5x - 6
x = (y + 6)/5
Find the zero of the function: f(x) = 6x + 3
zero: -1/2
Describe the transformation of the graph of f(x) = |x| + 7 from the parent function.
Shifted 7 units up.
Evaluate if m = -8, n = 4, and p = -12
|-2p + m| - 3n
4
Determine the domain and range for the relation: (2, 5), (-1, 3), (0, -1), (3, 3), (-4, -2)
Domain: {-4, -1, 0, 2, 3}
Range: {-2, -1, 3, 5}
Solve for d: 7d - 3c = f + 2d
d = (f + 3c) / 5
Identify the slope: (-6, 4), (-6, -2)
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Identify the domain and range of a step function.
Domain: {All real numbers}
Range: {All integers}
Solve: 4(3w - 2) = 8(2w + 3)
w = -8
Evaluate if a = 4, b = 3, and c = 9.
(a^2 +2bc) / 7
10
Solve for x: ax + by = c
x = (c - by)/a
Write an equation in slope intercept form: (0, 5), (6, 2)
y = -1/2x + 5
Describe the transformation of the graph of f(x) = -|x| from the parent function.
Reflected across the x-axis.
Solve: |-4w +2| = 14
w = {-3, 4}
If f(x) = 2x + 4, find the value of f(-3).
f(-3) = -2
Find the distance of a 15 km trail in miles. (1 mi = 1760 yd) (1 m = 1.094 yd) (1000 m = 1 km)
9.32 miles
an = -3n + 31
x + 2 if x is greater than or equal to 1
Domain: {All Real Numbers}
Range: {y is greater than or equal to 3; y is less than 2}